Knowing Our Numbers(6th Grade > Mathematics ) Questions and answers for exam Preparation

6th Grade > Mathematics

KNOWING OUR NUMBERS MCQs

Total Questions : 99 | Page 9 of 10 pages

Question 81.

If Rajat said he will include zero with all the natural numbers, then he will get ____.

Natural numbers
Prime numbers
Whole Numbers
Integers

Discuss Question

Answer: Option C. -> Whole Numbers
:
C

Whole numbers are the numbers starting from 0 and including all the natural numbers.

Question 82.

Ram and Shyam were playing. Ram asks Shyam to form numbers with the digits 4,3, 8 and 1. He gives him three different cases as

i. Form the largest four digit number with no repetition of digits.

ii. Form the largest four digit where two digits can be repeated twice.

iii. Form the smallest four digit number where repetition of digits is allowed four times.

What are the numbers?

i-8431, ii-8443, iii-1111
i-8431, ii-8844, iii-1111
i-8413, ii-8344, iii-1348
i-8431, ii-8334, iii-1341

Discuss Question

Answer: Option B. -> i-8431, ii-8844, iii-1111
:
B

Four digit greatest number with no repetition of digits, is 8431

Four digit greatest number where a digit can be repeated twice 8844

Smallest four digits where repetition of digits is allowed - 1111

Question 83.

Find the greatest and the smallest five digit number that can be formed by using 0, 8, 3, 9 and 2, assuming no digits are repeated.

Greatest- 98302, Smallest-02389
Greatest- 98320, Smallest-02398
Greatest- 98320, Smallest-20389
Greatest- 98320, Smallest-23809

Discuss Question

Answer: Option C. -> Greatest- 98320, Smallest-20389
:
C

Greatest number that can be formed using 0, 8, 3, 9 and 2 is 98320.

Smallest number that can be formed using 0, 8, 3, 9 and 2 is 20389.

02389 would not be the smallest number as it will be a 4 digit number formed by the given digits.

Question 84.

Akash asked Pavan to find the value of $9999 \times (555)$ . He says that it will be difficult to multiply as both of them are big numbers. Akash says that there is a simple way to find the product. He solves the problem using the concept of brackets. Which of the following will be the easiest way to solve this?

$9999 \times (555) = 9999 \times (500 + 5)$
$9999 \times (555) = (9000 + 999) \times (500 + 5)$
$9999 \times (555) = (10000 - 1) \times (500 + 5)$
$9999 \times (555) = (10000 - 1) \times (555)$

Discuss Question

Answer: Option D. ->

9999 \times (555) = (10000 - 1) \times (555)

:
D

As 9999 is nothing but (10000 - 1) and it's very easy to multiply any number with a multiple of 10.
$∴$ $Easiest way to solve 9999 \times 555 will be (10000 - 1) \times (555)$ .

Question 85.

A shopkeeper gives a discount of ₹ 12.50 on an article which costs ₹ 50. What is the selling price of each article?
(Round off the selling price of 11 articles to the nearest 10's).

Selling Price = ₹ 37.5, Round off value of the articles = ₹412.5
Selling Price = ₹ 37.5, Round off value of the articles = ₹ 410
Selling Price = ₹ 37.5, Round off value of the articles = ₹420
Selling Price = ₹ 37.5, Round off value of the articles = ₹ 412

Discuss Question

Answer: Option B. -> Selling Price = ₹ 37.5, Round off value of the articles = ₹ 410
:
B

Selling Price $= ₹ ( 50 - 12.5) = ₹ 37.5$

Selling price of 11 articles $= 11\times 37.5 = ₹ 412.5$

412.50 rounded off to the nearest tens is 410.

Question 86.

Raman writes the time shown below in Roman numeral form. For example 10:05 is represented as X:V. Similarly, write time shown on the clock in Roman numeral form.

II:XL
I:L
I:XL
II:L

Discuss Question

Answer: Option B. -> I:L
:
B

The time shown on the clock is 01:50. 01 in Roman numeral form is I. 50 in Roman numeral form is L.

So 01:50 will be represented as I:L

Question 87.

Roni went to the market with Rs.1000. She bought a saree for Rs.375, a pair of shoes for Rs.155 and a shawl for Rs.285. How much money is left with her? Round it off to the nearest hundred and write the answer.
___

Discuss Question

Answer: Option B. -> I:L
:

Money Spent = 375 + 155 + 285 = 815

Money left = 1000 - 815 = 185

When it is rounded off to nearest hundred it will be Rs 200

Question 88.

Pavan gave a number, 98429758, to Akash and asked him to find the difference between the numbers 2 and 7 in the based on place value. The difference will be ___.

Discuss Question

Answer: Option B. -> I:L
:

In 98429758 place value of 2 is 20000 and place value of 7 is 700. So the difference between them will be 19300.

Question 89.

Goutham, Vignesh, Pavan, Herman and Kushagra went to arena to play Laser Tag. After the game was over they got score cards which showed the scores of each of them individually as shown below. Whose scored highest?

Discuss Question

Answer: Option B. -> I:L
:

We can compare two numbers by comparing their place values. So by comparing the place values, we can find that Goutham scored maximum i.e. 98910.

Question 90.

Srishti found Rs.2000 fallen on the road. Megha found Rs.3000 next day at the same place. Who is richer? [1 MARK]

Discuss Question

Answer: Option B. -> I:L
:

When we are comparing two numbers, either of the two things can happen.
i. One of the numbers has a greater number of digits. or
ii. Both the numbers have the equal number of digits.
When one of the numbers has a greater number of digits, then the one which has a greater number of digits is greater.
If the number of digits is equal, then the following steps are followed:
i. The number with the greater valued digit on the extreme left is greater.
ii. If the digits on the extreme left of the numbers are equal, then the digits to the right of the extreme left digits are compared and so on.
Therefore, Megha is rich right now.